Kenneth John Falconer FRSE (born 25 January 1952) is an English mathematician working in mathematical analysis and in particular on fractal geometry. He is Regius Professor of Mathematics in the School of Mathematics and Statistics at the University of St Andrews. His recreational interests include long-distance walking and hill walking. He was chair of the Long Distance Walkers Association from 2000–03 and editor of their journal Strider from 1987–92 and 2007-12. In 2021 he was appointed a Vice President of the LDWA. He has twice climbed all the Munros as well as all the Corbetts.